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 Question from Udayan, a student: Sir/Madam, How to find the solutions of the equation, x = ln(x)

Hi,

If I am presented with two equations and asked to solve for the points where they intersect and I don't see an obvious algebraic solution I graph the equations to get an ida of where they intersect. For your problem I graphed $y = x$ and $y = \ln(x).$

From my graph it looks like they don't intersect. Can you prove that they don't intersect?

Penny

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